Found 1,696 Documents (Results 1–100)
Lectures on functional analysis and applications (to appear). 2nd edition. (English) Zbl 07029832
Hackensack, NJ: World Scientific (ISBN 978-981-3203-17-4/hbk; 978-981-3203-18-1/pbk). 800 p. (2025).
A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions. (English) Zbl 07932070
MSC:
65N30
An observation about weak solutions of linear differential equations in Hilbert spaces. (English) Zbl 07930221
Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term. (English) Zbl 07927793
A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes. (English) Zbl 07925690
Streamline diffusion weak Galerkin finite element methods for linear unsteady state convection diffusion equations and error analysis. (English) Zbl 07925500
Weak approximations of stochastic partial differential equations with fractional noise. (English) Zbl 07924434
Existence of solutions for a class of Dirichlet problems involving fractional \((p, q)\)-Laplacian operators. (English) Zbl 07924090
An ultra-weak space-time variational formulation for the Schrödinger equation. (English) Zbl 07922209
Preconditioned weak Galerkin finite element method for Poisson equation by least squares reconstruction. (English) Zbl 07920866
Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds. (English) Zbl 07917514
Analysis of weak Galerkin mixed finite element method based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. (English) Zbl 07915986
MSC:
65M70
Convergence analysis for the wave equation discretized with hybrid methods in space (HHO, HDG and WG) and the leapfrog scheme in time. (English) Zbl 07915956
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue. (English) Zbl 07912568
MSC:
35Q92
35Q35
35Q79
92C37
92C35
92C50
76D05
76W05
80A19
74F15
35D30
35A15
65M60
65M06
65N30
92-08
A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative. (English) Zbl 07912567
A stabilizer free weak Galerkin finite element method for the linear elasticity equations. (English) Zbl 07908357
Finite element analysis for microscale heat equation with Neumann boundary conditions. (English) Zbl 07908211
On the superconvergence of a WG method for the elliptic problem with variable coefficients. (English) Zbl 07903800
Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. (English) Zbl 07902981
An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes. (English) Zbl 07901877
Analysis of two discontinuous Galerkin finite element methods for the total pressure formulation of linear poroelasticity model. (English) Zbl 1543.65154
Well-posedness for a damped shear beam model. (English) Zbl 07901143
Reviewer: Udhayakumar Ramalingam (Vellore)
Weak Galerkin finite element methods for optimal control problems governed by second order elliptic equations. (English) Zbl 1543.65198
Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 07899985
A posteriori error estimate of the weak Galerkin finite element method solving the Stokes problems on polytopal meshes. (English) Zbl 07899548
Space-time FEM for the vectorial wave equation under consideration of Ohm’s law. (English) Zbl 1543.65153
A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions. (English) Zbl 1542.65123
A stabilizer-free weak Galerkin finite element method for the Darcy-Stokes equations. (English) Zbl 07896239
An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1542.65193
A defect correction weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 07890930
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions. (English) Zbl 07890847
Optimal \(L^2\) error estimates of stabilizer-free weak Galerkin finite element method for the drift-diffusion problem. (English) Zbl 07890840
Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear damping. (English) Zbl 07884897
Stability and convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation. (English) Zbl 1543.35201
Discrete weak duality of hybrid high-order methods for convex minimization problems. (English) Zbl 07882247
An extension of the Morley element on general polytopal partitions using weak Galerkin methods. (English) Zbl 1543.65194
An improved partitioned time stepping method based on modified characteristic FEM for the evolutionary dual-porosity-Navier-Stokes model. (English) Zbl 07878289
Reviewer: Mária Lukácová-Medvidová (Mainz)
A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes. (English) Zbl 1541.65163
A Voigt regularization of the thermally coupled magnetohydrodynamic flow. (English) Zbl 1543.76141
Reviewer: Xiaodi Zhang (Zhengzhou)
A posteriori error estimate for a WG method of \(\boldsymbol{H}\)(curl)-elliptic problems. (English) Zbl 07873682
Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. (English) Zbl 07872155
Weak solutions for a degenerate phase-field model via Galerkin approximation. (English) Zbl 07869336
On global solutions to the inhomogeneous, incompressible Navier-Stokes equations with temperature-dependent coefficients. (English) Zbl 1542.35332
Weak convergence of the Rosenbrock semi-implicit method for semilinear parabolic SPDEs driven by additive noise. (English) Zbl 07866844
Generalized weak Galerkin finite element methods for second order elliptic problems. (English) Zbl 1541.65157
A weak Galerkin meshless method for incompressible Navier-Stokes equations. (English) Zbl 1542.65161
A posteriori error estimates of the weak Galerkin finite element methods for parabolic problems. (English) Zbl 1541.65149
A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. (English) Zbl 1541.65166
Higher order stable generalized isogeometric analysis for interface problems. (English) Zbl 1542.65159
Existence and uniqueness of solution for the nonlinear Brusselator system with Robin boundary conditions. (English) Zbl 1542.35116
Weak Galerkin finite element methods for semilinear Klein-Gordon equation on polygonal meshes. (English) Zbl 07862450
A weighted combination of reproducing kernel particle shape functions with cardinal functions of scalable polyharmonic spline radial kernel utilized in Galerkin weak form of a mathematical model related to anti-angiogenic therapy. (English) Zbl 1541.92041
A low-cost, penalty parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations. (English) Zbl 07859659
Robust methods for multiscale coarse approximations of diffusion models in perforated domains. (English) Zbl 1542.65181
On a biharmonic coupled system with non-standard nonlinearity: existence, blow up and numerics. (English) Zbl 1540.35424
Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets. (English) Zbl 1537.35336
A parallel finite element discretization algorithm based on grad-div stabilization for the Navier-Stokes equations. (English) Zbl 07850264
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Existence of solutions to stochastic \(p(t, x)\)-Laplace equations and applications. (English) Zbl 1540.35477
An ultra-weak local discontinuous Galerkin method with generalized numerical fluxes for the KdV-Burgers-Kuramoto equation. (English) Zbl 1541.65103
Global existence of a pair of coupled Cahn-Hilliard equations with nondegenerate mobility and logarithmic potential. (English) Zbl 1539.35032
An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws. (English) Zbl 1541.65104
Inhomogeneous finitely-strained thermoplasticity with hardening by an Eulerian approach. (English) Zbl 07836658
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling. (English) Zbl 1535.35109
High order Morley elements for biharmonic equations on polytopal partitions. (English) Zbl 1536.65147
Full weak Galerkin finite element discretizations for poroelasticity problems in the primal formulation. (English) Zbl 1536.65111
Numerical solutions for biharmonic interface problems via weak Galerkin finite element methods. (English) Zbl 07834039
The uniform convergence of a weak Galerkin finite element method in the balanced norm for reaction-diffusion equation. (English) Zbl 1540.65496
A parallel iterative procedure for weak Galerkin methods for second order elliptic problems. (English) Zbl 07832932
A space-time DG method for the Schrödinger equation with variable potential. (English) Zbl 1541.65097
A conforming discontinuous Galerkin finite element method for Brinkman equations. (English) Zbl 07829095
Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes. (English) Zbl 1534.65252
Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations. (English) Zbl 07827783
MSC:
65L03
BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations. (English) Zbl 07827771
Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions. (English) Zbl 1535.35178
MSC:
35Q74
35Q49
35Q79
35Q35
74A30
74J30
74F10
74L05
74L10
74B20
80A19
76A10
76N10
35D30
35B65
35A01
35A02
Existence and stability of dissipative measure-valued solutions to the full compressible magnetohydrodynamic flows. (English) Zbl 07825624
Reviewer: Teng Wang (Beijing)
A locking-free weak Galerkin finite element method for linear elasticity problems. (English) Zbl 07824652
On the study of hyperbolic \(p(.)\)-bi-Laplace equation with variable exponent. (English) Zbl 1536.35217
The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids. (English) Zbl 1535.65286
A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. (English) Zbl 1535.65159
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Global existence and finite-time blowup for a mixed pseudo-parabolic \(r(x)\)-Laplacian equation. (English) Zbl 1536.35190
Martingale solutions in stochastic fluid-structure interaction. (English) Zbl 1540.76034
Reviewer: Piotr Biler (Wrocław)
Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow. (English) Zbl 1531.76060
A new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problems. (English) Zbl 1533.65237
A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition. (English) Zbl 1533.35326
On theoretical result of a controlled \(p(x)\)-reaction diffusion equation for Poisson noise reduction. (English) Zbl 1532.35118
A numerical method for singularly perturbed convection-diffusion-reaction equations on polygonal meshes. (English) Zbl 07803452
Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 07803020
A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation. (English) Zbl 1534.65187
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